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-t/(t-1)^2+1/(t-1)

1 answer


Use the formula a^2 - b^2 = (a -b)(a + b). So:

t^2 - (t - 1)^2

= [t - (t -1)][t + (t -1)] Now you can work and simplify the given expression.

=(t - t +1)(t + t -1)

=(1)(2t -1)

= 2t -1

1 answer


Probability of T, T, T, T, T, T or 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 or 1/64 or 0.015625.

1 answer


The formula is as follows:

Because, in general, a zero-coupon bond price is...

Z(t,T) = 1/[1+r(t,T)]T

SO the spot rate would then equal...

r(t,T) = [1/Z(t,T)1/T]-1

1 answer


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The recursive relationship for the function t(n) is t(n) t(n - 1) 1/n.

1 answer


Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs

Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs

Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs

Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs

Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs

Yes, 1 t(US) = 2000lbs, a half t(US) = 1000lbs

2 answers


t(1) = 1

t(2) = 1

t(n+1) = t(n) + t(n-1) for n = 1, 2, 3, ...

That is, the first two terms are 1; after that every term is the sum of the previous two terms.

1 answer


2000 lb = 1 t(US)

2000 lb = 1 t(US)

2000 lb = 1 t(US)

2000 lb = 1 t(US)

2000 lb = 1 t(US)

2000 lb = 1 t(US)

2 answers






You factor it.

81t3 - 81t = 0

Divide by 81:

t3 - t = 0

Take out the common factor t:

t (t2 - 1) = 0

Here we have a difference of two squares, therefore:

t (t + 1) ( t - 1) = 0

If the product is zero, that means that one of the factors must be zero, so you have to solve the three equations:

t = 0 OR t + 1 = 0 OR t - 1 = 0.

In summary, t can be 0, -1, or 1.

1 answer


T + 5 + 3T = 1

Simplify the terms, T and 3T (think 1 apple plus 3 apples)

4T + 5 = 1

Subtract 5 from both sides.

4T = -4

then divide both sides by 4 to get T by itself.

T = -4/4

T = -1

To check, substitute T = -1 wherever you see T in your original equation.

T + 5 + 3T = 1

(-1) + 5 + 3(-1) = 1

4 - 3 = 1

1 = 1 (check)

1 answer


4t-1 = t+2 3t -1 = 2 3t = 3 t = 1

1 answer


10*4n - 1 = 40n - 1

So

t(1) =39

t(2) = 79

t(3) =119

t(4) = 159

1 answer


Sunday Dinner - 1991 Welcome T-T 1-1 was released on:

USA: 2 June 1991

1 answer


There are 8 permutations of three coins ...

T T T

T T H

T H T

T H H

H T T

H T H

H H T

H H H

... counting heads and sorting by count, you get ...

0 - T T T

1 - T T H

1 - T H T

1 - H T T

2 - T H H

2 - H T H

2 - H H T

3 - H H H

... so, the probability of each possible number of heads is 0: 1 in 8, 1: 3 in 8, 2: 3 in 8, and 3: 1 in 8.

1 answer


If f(t) = t5 + t4 + t3 + t2 + t + 1

then remainder when divided by t+1 is

f(-1)

The remainder is, therefore, (-1)5 + (-1)4 + (-1)3 + (-1)2 + (-1) + 1

= -1 + 1 - 1 + 1 - 1 + 1 = 0

1 answer


T+(3-2t)=4t+1. Assuming the two T's , T and t are the same variable, lets proceed.

t+(3-2t)=4t+1

3-t=4t+1

2-t=4t

2=5t

last step is yours

1 answer


sin(t) = 2/3

sin2(t) + cos2(t) = 1

so cos(t) = ± sqrt[1 - sin2(t)]

but because t is in the first quadrant, cos(t) > 0 so cos(t) = + sqrt[1 - sin2(t)]

= sqrt[1 - 4/9] = sqrt[5/9] = sqrt(5)/3

Then sec(t) = 1/cos(t) = 1/sqrt(5)/3 = 3/sqrt(5) = 3*sqrt(5)/5

1 answer


When you add 1 to the input of the function t(n), it will also add 1 to the output of the function t(n).

1 answer


1 voice in a solo.

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The T-O- Show - 2009 Introducing T-O- 1-1 was released on:

USA: 21 July 2009

1 answer


T and T - 1988 Extortion in Chinatown 1-1 was released on:

USA: 11 January 1988

Netherlands: 27 September 1988

1 answer


Use the product and chain rules:

d/dt te^(-t²) = (d/dt t)e^(-t²) + t(d/dt e^(-t²))

= 1 × e^(-t²) + t × e^(-t²) × d/dt -t²

= e^(-t²) (1 + t × -2t)

= (1 - 2t²)e^(-t²)

2 answers


It is a version of the Fibonacci sequence, where each term is the sum of the previous two terms.

The sequence is defined by the recursive formula:

t(n) = t(n-1) + t(n-2) where t(n) is the nth term

Here, t(1) = 2 and t(2) = 3 though for the more general form of the Fibonacci sequence, t(1) = 1 and t(2) = 1.

1 answer


If t is real then [1 to infinity) ie all real numbers from 1 to infinity, including 1 but not infinity. If t is in the complex plane then the domain of t^2+1 is also the complex plane.

1 answer


1 T means one tablespoon in a recipe. A lowercase t means teaspoon.

1 answer


A kilogram is greater than a gram. There are 1000 grams in a kilogram.

5 answers


here are the clues:

the difference in time between the aircraft and the ground is 1 S.

ie, T-t=1S

T/t-1=1/t

Substitute the time dilation expression for T/t in terms of velocity and solve it for 1/t. find t.

1 answer


Vrms=sqrt[1/T * integral(v^2(t)dt, 0,t]

Irms=sqrt[1/T * integral(i^2(t)dt, 0,t]

1 answer


to analyze a time series model represented by an ARIMA (1,2,0) process, with the given equation:

[ X_t = (1 + \phi_1)X_{t-1} - (1 + \phi_1)X_{t-2} + \phi_1X_{t-3} + \epsilon_t ]

Substituting the provided value for ( \phi_1 = -0.3922 ), we get:

[ X_t = (1 - 0.3922)X_{t-1} - (1 - 0.3922)X_{t-2} - 0.3922X_{t-3} + \epsilon_t ]

[ X_t = 0.6078X_{t-1} - 0.6078X_{t-2} - 0.3922X_{t-3} + \epsilon_t ]

It appears there might be a slight discrepancy in the calculation of ( \phi_1 ), where you've written ( \phi_1 = -0.3931 ) instead of ( \phi_1 = -0.3922 ). If it's indeed supposed to be ( \phi_1 = -0.3922 ), the correct representation of the equation would be the one derived above. Otherwise, if ( \phi_1 = -0.3931 ) is intended, you would adjust the coefficients accordingly.

1 answer


This following loop creates a unit ramp input :

for t= 0:0.1:5

if(t<=1)

y(count) = t;

end

if(t>1)

y(count) = 1;

end

Rz(count) = tf(y(count)*T,[1 -2 1],T);

Rs(count) = d2c(Rz(count));

end

% T = 0.005; this is for a discrete system

1 answer


there are 2000 lbm in 1 ton (T). there are 2000 lbm in 1 ton (T).

2 answers




Each term, except the first two, in the Fibonacci sequence is defined in terms of terms that went earlier in the sequence. That is the meaning of "recursive".

t(1) = 1

t(2) = 1

t(n+2) = t(n) + t(n+1) for n = 1, 2, 3, ...

1 answer


(a - t)/(b - t) = c

=> a - t = c(b - t) = cb - ct = bc - tc

=> tc - t = bc - a

=> t(c - 1) = bc - a

=> t = (bc - a)/(c - 1)

1 answer


cos(t) - cos(t)*sin2(t) = cos(t)*[1 - sin2(t)]

But [1 - sin2(t)] = cos2(t)

So, the expression = cos(t)*cos2(t) = cos3(t)

1 answer


1/T, where T=period in seconds.

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r=0,


Tr-r = 0 = r(T-1), since T != 1, then T-1 is non zero so r must be zero.

1 answer


g(t) = 2/t

The function is the same as writing g(t) = 2 t-1,

and that's not too difficult to differentiate:

g'(t) = -2 t-2

g'(1/2) = -2 (1/2)-2 = -2 (4) = -8

1 answer


If that's + 36, the answer is (t + 6)(t + 1)(t - 6)(t - 1). If that's - 36, it gets ugly in a hurry.

1 answer


T and T - 1988 Working It Out 1-23 was released on:

USA: 23 June 1988

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Believe it or not that is a trick question. The T in "1 T" could mean 1 ton, but no 1 ton cannot be equivalent to 1,000 pounds.

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Suppose t(n) is the nth term.

Then t(n) = -1 + 2n (for n = 1, 2, 3, ... 100)

Now

t(1) + t(100) = (-1 + 2*1) + (-1 +2*100) = 1 + 199 = 200

t(2) + t(99) = (-1 + 2*2) + (-1 +2*99) = 3 + 197 = 200

there are 50 such pairs.

So the grand total is 50*200 = 10000

1 answer


Diff'rent Strokes - 1978 Mr- T and mr- t 6-1 was released on:

USA: 1 October 1983

1 answer


T = 1/f

T = 1/(50 Hz)

= .02 sec

1 answer